A variety of M-truncated optical solitons to a nonlinear extended classical dynamical model

This article secures optical pulses modeled by higher order generalized extended classical nonlinear Schrödinger equation (GECNLSE). The studied equation is discussed by the assistance of truncated M-fractional derivative and composed of self-steepening, and stimulated Raman scattering effects in nonlinear optical fibers. Because of their versatility in explaining a wide range of complicated physical events and their richer dynamical structures of localized wave solutions, the NLSE equations have received increased attention. The solutions are extracted with the assistance of modified Sardar sub-equation method (MSSEM), one of the newest integration methods. A variety of optical solitons are extracted like, bright, dark, combo, and singular soliton solutions. Furthermore, periodic, exponential, and hyperbolic type solutions are obtained. Assuming the right values for the parameters, various graph shapes are sketched to provide information about the visual format of the earned results. This paper’s findings support the efficacy of the approach taken in enhancing nonlinear dynamical behavior. We believe this research will be of interest to a wide variety of engineers that work with engineering models. Findings show the effectiveness simplicity, and generalizability of the chosen computational approach, even when applied to complicated systems. •A nonlinear extended classical dynamical model is under consideration.•A hydrodynamic mathematical method is applied.•Optical solitons in different forms are secured.•The results show that the system theoretically has extremely rich exact wave structures of optical fiber relevance.